JEE Main 2024 Mathematics question
The coefficients a, b, c in the quadratic equation ax² + bx + c = 0 are from the set {1, 2, 3, 4, 5, 6}. If the probability of this equation having one real root bigger than the other is p, then 216p equals:
Answer: (B)
Solution
Distinct real roots need b² > 4ac. Counting over 6³ = 216 triples gives 38 favourable cases, so 216p = 38.